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Finding the Third Proportional to 315,093 and 472,869

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Solution

The third proportional to 315,093 and 472,869 is: 709,647.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,093 : 472,869 = 472,869 : x
  2. Step 2: Convert to fraction form
    315,093/472,869 = 472,869/x
  3. Step 3: Cross multiply
    315,093x = 472,869 × 472,869
  4. Step 4: Simplify right side
    315,093x = 223,605,091,161
  5. Step 5: Solve for x
    x = 223,605,091,161/315,093
  6. Step 6: Final answer
    x = 709,647.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.